Archimedes, Natation of bodies, 1662

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    <archimedes>
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            <p type="main">
              <s>
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              equidiſtant from the point K, the Center of the World, which parts are G M,
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              M L, L F, F H, H E.</s>
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              <s>
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              * Or through.</s>
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            <p type="main">
              <s>RIC. </s>
              <s>I underſtand you very well, as to this particular: But tell me a little; he
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              ſaith that each of the parts of the Liquid is preſſed or repulſed by the Liquid that
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              is above it, according to the Perpendicular: I know not what that Liquid is that
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              lieth upon a part of another Perpendicularly.</s>
            </p>
            <p type="main">
              <s>NIC. </s>
              <s>Imagining a Line that cometh from the Center of the Earth penetrating
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              thorow ſome Water, each part of the Water that is in that Line he ſuppoſeth to
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              be preſſed or repulſed by the Water that lieth above it in that ſame Line, and that
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              that repulſe is made according to the ſame Line, (that is, directly towards the
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              Center of the World) which Line is called a Perpendicular; becauſe every
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              Right-Line that departeth from any point, and goeth directly towards the Worlds
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              Center is called a Perpendicular. </s>
              <s>And that you may the better underſtand me, let
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                <figure id="id.073.01.006.1.jpg" xlink:href="073/01/006/1.jpg" number="1"/>
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              us imagine
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              the Line KHO,
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              and in that
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              let us imagine
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              ſeveral parts,
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              as ſuppoſe RS,
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              S T, T V, V H,
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              H O. </s>
              <s>I ſay,
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              that he ſup­
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              poſeth that
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              the part V H
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              is preſſed by
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              that placed a­
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              bove it, H O,
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              according to
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              the Line OK;
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              the which
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              O K, as hath been ſaid above, is called the Perpendicular paſſing thorow thoſe two
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              parts. </s>
              <s>In like manner, I ſay that the part T V is expulſed by the part V H, ac­
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              cording to the ſaid Line O K: and ſo the part S T to be preſſed by T V, according
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              to the ſaid Perpendicular O K, and R S by S T. </s>
              <s>And this you are to underſtand
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              in all the other Lines that were protracted from the ſaid Point K, penetrating the
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              ſaid Water, As for Example, in
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              K
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              G,
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              K
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              M,
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              K
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              L,
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              K
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              F,
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              K
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              E, and infinite others of the
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              like kind.</s>
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            <p type="main">
              <s>RIC. Indeed,
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              Dear Companion,
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              this your Explanation hath given megreat ſa­
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              tisfaction; for, in my Judgment, it ſeemeth that all the difficulty of this Suppoſition
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              conſiſts in theſe two particulars which you have declared to me.</s>
            </p>
            <p type="main">
              <s>NIC. </s>
              <s>It doth ſo; for having underſtood that the parts E H, H F, F L, L M, and
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              MG, determining in the Circumference of the ſaid Circle are equijacent, it is an
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              eaſie matter to underſtand the foreſaid
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              Suppoſition
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              in Order, which ſaith,
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              That it is
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              ſuppoſed that the Liquid is of ſuch a nature, that the part thereof leſs preſſed or thrust is re­
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              pulſed by the more thruſt or preſſed.
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              As for example, if the part E H were by chance
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              more thruſt, crowded, or preſſed from above downwards by the Liquid, or ſome
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              other matter that was over it, than the part H F, contiguous to it, it is ſuppoſed
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              that the ſaid part H F, leſs preſſed, would be repulſed by the ſaid part E H. </s>
              <s>And
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              thus we ought to underſtand of the other parts equijacent, in caſe that they be
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              contiguous, and not ſevered. </s>
              <s>That each of the parts thereof is preſſed and repul.
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              </s>
              <s>ſed by the
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              L
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              iquid that lieth over it Perpendicularly, is manifeſt by that which was
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              ſaid above, to wit, that it ſhould be repulſed, in caſe the
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              L
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              iquid be deſcending into
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              any place, and thruſt, or driven any whither by another.</s>
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            <p type="main">
              <s>RIC. </s>
              <s>I underſtand this Suppoſition very well, but yet me thinks that before
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              the Suppoſition, the Author ought to have defined thoſe two particulars, which
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              you firſt declared to me, that is, how we are to underſtand the parts of the
                <emph type="italics"/>
              L
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              iquid
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              equijacent, and likewiſe the Perpendicular.</s>
            </p>
          </chap>
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    </archimedes>
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